Real Algebraic and Analytic Geometry
Submission: 2004, May 27.
We obtain new necessary conditions for an n-dimensional semialgebraic subset of R^n to be a polynomial image of R^n. Moreover, we prove that a large family of planar bidimensional semialgebraic sets with piecewise linear boundary are images of polynomial or regular maps, and we estimate in both cases the dimension of their generic fibers. .
Mathematics Subject Classification (2000): 14P10, 14Q99.
Keywords and Phrases: polynomial image, semialgebraic set, exterior boundary, convex polygon.
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